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Finding the Fourth Proportional to 3,352.87, 5,029.70 and 1,274.43

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Solution

The fourth proportional to 3,352.87, 5,029.70 and 1,274.43 is: 1,911.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352.87 : 5,029.70 = 1,274.43 : x
  2. Step 2: Convert to fraction form
    3,352.87/5,029.70 = 1,274.43/x
  3. Step 3: Cross multiply
    3,352.87x = 5,029.70 × 1,274.43
  4. Step 4: Simplify right side
    3,352.87x = 6,410,013.06
  5. Step 5: Solve for x
    x = 6,410,013.06/3,352.87
  6. Step 6: Final answer
    x = 1,911.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.